Buckled states of circular plates
نویسندگان
چکیده
منابع مشابه
Vibration of Thermally Post-buckled Orthotropic Circular Plates
Axisymmetric vibrations of a statically buckled polar orthotropic circular plate due to uniform temperature rise have been studied numerically. Effects of geometric nonlinearities have been incorporated into the problem formulation. The problem is challenging because the buckled configuration is unknown a priori. By assuming that the amplitude of plate’s vibration and the additional strains ind...
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Axisymmetric deformations of a uniformly heated pre-buckled and post-buckled thin circular plate reinforced with shape memory alloy (SMA) fibers placed in the radial direction only are studied. Effects of von Kármán’s nonlinearities are incorporated in the problem formulation. The matrix is assumed to be linear thermoelastic and the thermo-mechanical response of the SMA is modeled by one-dimens...
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Ahatraet-The dynamic behaviour of elastic-plastic circular plates, with deflections in the range where both bending moments and membrane forces are important, is investigated. The formulation is restricted to two dimensional and axisymmettic responses. The effect of shear deformations, rotary inertia and material strain rate sensitivity is not considered. The equations of motion are solved for ...
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The branching of un,symmetric equilibrium states from axisymmetric equilibrium states for clamped circular plates subjected to a uniform edge thrust and a uniform lateral pressure is analyzed in this paper. The branching process is called wrinkling and the loads at which branching occurs are called wrinkling loads. The nonlinear von Karman plate theory is employed. The wrinkling loads are deter...
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We investigate the stability of circular monolayer graphene subjected to a radial load using non-equilibrium molecular dynamics simulations. When monolayer graphene is radially stressed, after some small circular strain (∼0.4%) it buckles and bends into a new bowl-like shape. Young's modulus is calculated from the linear relation between stress and strain before the buckling threshold, which is...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1962
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/138257